Virtual Knotoids in Thickened Surfaces

Fuente: arXiv
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Autores principales: Gügümcü, Neslihan, Kayaslan, Hamdi
Formato: Preprint
Publicado: 2025
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author Gügümcü, Neslihan
Kayaslan, Hamdi
author_facet Gügümcü, Neslihan
Kayaslan, Hamdi
contents In this paper, we give a geometric interpretation of virtual knotoids as arcs in thickened surfaces. Then we show that virtual knotoid theory is a generalization of classical knotoid theory. This gives a proof of a conjecture of Kauffman and the first author.
format Preprint
id arxiv_https___arxiv_org_abs_2502_18160
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Virtual Knotoids in Thickened Surfaces
Gügümcü, Neslihan
Kayaslan, Hamdi
Geometric Topology
57K12
In this paper, we give a geometric interpretation of virtual knotoids as arcs in thickened surfaces. Then we show that virtual knotoid theory is a generalization of classical knotoid theory. This gives a proof of a conjecture of Kauffman and the first author.
title Virtual Knotoids in Thickened Surfaces
topic Geometric Topology
57K12
url https://arxiv.org/abs/2502.18160